Angle Bisector Theorem - Midpoints & Line Segments | Summary and Q&A

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August 24, 2017
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The Organic Chemistry Tutor
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Angle Bisector Theorem - Midpoints & Line Segments

TL;DR

Midpoints divide a segment into two congruent parts, while angle bisectors split an angle into two congruent angles.

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Questions & Answers

Q: What is a midpoint?

A midpoint is a point that divides a segment into two congruent segments. It is found on the segment itself.

Q: How is an angle bisector defined?

An angle bisector is a ray that divides an angle into two congruent angles. It starts at the vertex of the angle and splits it into two equal parts.

Q: How do you determine if a point is a midpoint?

To determine if a point is a midpoint, compare the lengths of the two segments created by the point. If they are congruent, the point is a midpoint.

Q: How can angle bisectors be used in problem-solving?

Angle bisectors can be helpful in finding unknown angles or establishing relationships between different angles in a figure.

Summary & Key Takeaways

  • Midpoints are points that divide a segment into two congruent segments.

  • Angle bisectors are rays that divide an angle into two congruent angles.

  • Midpoints and angle bisectors have various applications in geometry problem-solving.

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